5641582520520 has 240 divisors, whose sum is σ = 19593404980380. Its totient is φ = 1455891459840.

The previous prime is 5641582520513. The next prime is 5641582520521. The reversal of 5641582520520 is 250252851465.

5641582520520 is a `hidden beast` number, since 5 + 6 + 41 + 5 + 82 + 5 + 2 + 0 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4909849409124 + 731733111396 = 2215818^2 + 855414^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5641582520521) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2207694 + ... + 4019586.

Almost surely, 2^{5641582520520} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5641582520520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9796702490190).

5641582520520 is an abundant number, since it is smaller than the sum of its proper divisors (13951822459860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5641582520520 is a wasteful number, since it uses less digits than its factorization.

5641582520520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811978 (or 1811934 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 5641582520520 in words is "five trillion, six hundred forty-one billion, five hundred eighty-two million, five hundred twenty thousand, five hundred twenty".